Random matrix theory of proximity effect in disordered wires

Details Random matrix theory of proximity effect in disordered wires Random matrix theory of proximity effect in disordered wires

2002-08-06

arxiv.org/abs/cond-mat/0208107v2

Phys. Rev. B 67, 024410 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

12 pages, 8 figures, new section on Usadel equation is added

Scientific paper

10.1103/PhysRevB.67.024410

We study analytically the local density of states in a disordered normal-metal wire at ballistic distance to a superconductor. Our calculation is based on a scattering-matrix approach, which concerns for wave-function localisation in the normal metal, and extends beyond the conventional semiclassical theory based on Usadel and Eilenberger equations. We also analyse how a finite transparency of the NS interface modifies the spectral proximity effect and demonstrate that our results agree in the dirty diffusive limit with those obtained from the Usadel equation.

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